oj.uz

Submission #791834

# Submission time Handle Problem Language Result Execution time Memory
791834 2023-07-24T10:42:16 Z GEN 이지후(#10078) Nestabilnost (COI23_nestabilnost) C++17
61 / 100
 1500 ms 113300 KB 
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<lint, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXN = 300005;

namespace fastio {
static constexpr uint32_t SZ = 1 << 17;
char ibuf[SZ];
char obuf[SZ];
uint32_t pil = 0, pir = 0, por = 0;

struct Pre {
	char num[40000];
	constexpr Pre() : num() {
		for (int i = 0; i < 10000; i++) {
			int n = i;
			for (int j = 3; j >= 0; j--) {
				num[i * 4 + j] = n % 10 + '0';
				n /= 10;
			}
		}
	}
} constexpr pre;

__attribute__((target("avx2"), optimize("O3"))) inline void load() {
	memcpy(ibuf, ibuf + pil, pir - pil);
	pir = pir - pil + fread(ibuf + pir - pil, 1, SZ - pir + pil, stdin);
	pil = 0;
}

__attribute__((target("avx2"), optimize("O3"))) inline void flush() {
	fwrite(obuf, 1, por, stdout);
	por = 0;
}

inline void rd(char &c) { c = ibuf[pil++]; }

template <typename T> __attribute__((target("avx2"), optimize("O3"))) inline void rd(T &x) {
	if (pil + 32 > pir)
		load();
	char c;
	do
		rd(c);
	while (c < '-');
	bool minus = 0;
	if constexpr (is_signed<T>::value) {
		if (c == '-') {
			minus = 1;
			rd(c);
		}
	}
	x = 0;
	while (c >= '0') {
		x = x * 10 + (c & 15);
		rd(c);
	}
	if constexpr (is_signed<T>::value) {
		if (minus)
			x = -x;
	}
}

inline void wt(char c) { obuf[por++] = c; }
template <typename T> __attribute__((target("avx2"), optimize("O3"))) inline void wt(T x) {
	if (por + 32 > SZ)
		flush();
	if (!x) {
		wt('0');
		return;
	}
	if constexpr (is_signed<T>::value) {
		if (x < 0) {
			wt('-');
			x = -x;
		}
	}
	if (x >= 10000000000000000) {
		uint32_t r1 = x % 100000000;
		uint64_t q1 = x / 100000000;
		if (x >= 1000000000000000000) {
			uint32_t n1 = r1 % 10000;
			uint32_t n2 = r1 / 10000;
			uint32_t n3 = q1 % 10000;
			uint32_t r2 = q1 / 10000;
			uint32_t n4 = r2 % 10000;
			uint32_t q2 = r2 / 10000;
			memcpy(obuf + por + 15, pre.num + (n1 << 2), 4);
			memcpy(obuf + por + 11, pre.num + (n2 << 2), 4);
			memcpy(obuf + por + 7, pre.num + (n3 << 2), 4);
			memcpy(obuf + por + 3, pre.num + (n4 << 2), 4);
			memcpy(obuf + por, pre.num + (q2 << 2) + 1, 3);
			por += 19;
		} else if (x >= 100000000000000000) {
			uint32_t n1 = r1 % 10000;
			uint32_t n2 = r1 / 10000;
			uint32_t n3 = q1 % 10000;
			uint32_t r2 = q1 / 10000;
			uint32_t n4 = r2 % 10000;
			uint32_t q2 = r2 / 10000;
			uint32_t q3 = (q2 * 205) >> 11;
			uint32_t r3 = q2 - q3 * 10;
			memcpy(obuf + por + 14, pre.num + (n1 << 2), 4);
			memcpy(obuf + por + 10, pre.num + (n2 << 2), 4);
			memcpy(obuf + por + 6, pre.num + (n3 << 2), 4);
			memcpy(obuf + por + 2, pre.num + (n4 << 2), 4);
			obuf[por + 1] = '0' + r3;
			obuf[por + 0] = '0' + q3;
			por += 18;
		} else {
			uint32_t n1 = r1 % 10000;
			uint32_t n2 = r1 / 10000;
			uint32_t n3 = static_cast<uint32_t>(q1) % 10000;
			uint32_t r2 = static_cast<uint32_t>(q1) / 10000;
			uint32_t n4 = r2 % 10000;
			uint32_t q2 = r2 / 10000;
			memcpy(obuf + por + 13, pre.num + (n1 << 2), 4);
			memcpy(obuf + por + 9, pre.num + (n2 << 2), 4);
			memcpy(obuf + por + 5, pre.num + (n3 << 2), 4);
			memcpy(obuf + por + 1, pre.num + (n4 << 2), 4);
			obuf[por + 0] = '0' + q2;
			por += 17;
		}
	} else {
		int i = 8;
		char buf[12];
		while (x >= 10000) {
			memcpy(buf + i, pre.num + (x % 10000) * 4, 4);
			x /= 10000;
			i -= 4;
		}
		if (x < 100) {
			if (x < 10) {
				wt(char('0' + x));
			} else {
				obuf[por + 0] = '0' + x / 10;
				obuf[por + 1] = '0' + x % 10;
				por += 2;
			}
		} else {
			if (x < 1000) {
				memcpy(obuf + por, pre.num + (x << 2) + 1, 3);
				por += 3;
			} else {
				memcpy(obuf + por, pre.num + (x << 2), 4);
				por += 4;
			}
		}
		memcpy(obuf + por, buf + i + 4, 8 - i);
		por += 8 - i;
	}
}

struct Dummy {
	Dummy() { atexit(flush); }
} dummy;

} // namespace fastio

using fastio::rd;
using fastio::wt;
int n, a[MAXN], f[MAXN];
lint sm[MAXN];
int par[MAXN];
int root[MAXN];
vector<int> gph[MAXN];

void dfs(int x, int p) {
	if (p == -1)
		root[x] = 1, par[x] = -1;
	for (auto &y : gph[x]) {
		if (y != p) {
			if (a[y] <= a[x] && a[y] > 0)
				root[y] = 1;
			if (a[y] > a[x] + 1)
				root[y] = 1;
			par[y] = x;
			dfs(y, x);
		}
	}
}

struct DP {
	map<lint, lint> incrBy;
	map<lint, lint> equals;
	pair<lint, lint> totMin() {
		lint totmin = 1e18;
		lint sum = 0;
		auto it1 = equals.end();
		auto it2 = incrBy.end();
		while (it1 != equals.begin()) {
			it1--;
			while (it2 != incrBy.begin() && (*prev(it2)).first >= (*it1).first) {
				it2--;
				totmin = min(totmin, sum + sm[(*it2).first + 1]);
				sum += it2->second;
			}
			totmin = min(totmin, f[it1->first] - it1->second + sum);
		}
		while (it2 != incrBy.begin()) {
			it2--;
			totmin = min(totmin, sum + sm[(*it2).first + 1]);
			sum += it2->second;
		}
		totmin = min(totmin, sum + sm[1]);
		return make_pair(totmin, sum);
	}
	void print() {
		return;
		cout << "incrBy" << endl;
		for (auto &[k, v] : incrBy)
			cout << k << " " << v << endl;
		cout << "equals" << endl;
		for (auto &[k, v] : equals)
			cout << k << " " << v << endl;
		auto [tot, sum] = totMin();
		cout << "totmin = " << tot << " sum = " << sum << endl;
	}
};

DP v[MAXN];
int idx[MAXN];

void solve(int x, int p) {
	idx[x] = x;
	vector<int> down;
	for (auto &y : gph[x]) {
		if (y != p && !root[y]) {
			solve(y, x);
			if (a[x] + 1 == a[y]) {
				auto [totmin, sum] = v[idx[y]].totMin();
				auto it1 = v[idx[y]].incrBy.begin();
				auto it2 = v[idx[y]].equals.begin();
				while (totmin < sum) {
					lint delta = sum - totmin;
					auto val = *it1;
					it1 = v[idx[y]].incrBy.erase(it1);
					sum -= min(val.second, delta);
					val.second -= min(val.second, delta);
					if (val.second)
						v[idx[y]].incrBy.insert(val);
					while (it2 != v[idx[y]].equals.end() && it2->first <= val.first) {
						if (it2->second <= delta) {
							it2 = v[idx[y]].equals.erase(it2);
						} else {
							auto val = *it2;
							val.second -= delta;
							v[idx[y]].equals.erase(it2);
							v[idx[y]].equals.insert(val);
							it2 = v[idx[y]].equals.upper_bound(val.first);
						}
					}
				}
			} else {
				auto [totmin, sum] = v[idx[y]].totMin();
				lint costEq = 0;
				{
					auto it = v[idx[y]].incrBy.end();
					while (it != v[idx[y]].incrBy.begin()) {
						it--;
						if (it->first >= a[x] + 1)
							costEq += it->second;
						else
							break;
					}
				}
				if (v[idx[y]].equals.count(a[x] + 1))
					costEq -= v[idx[y]].equals[a[x] + 1];
				v[idx[y]].incrBy.clear();
				v[idx[y]].equals.clear();
				if (totmin > costEq)
					v[idx[y]].equals[a[x] + 1] = totmin - costEq;
				v[idx[y]].incrBy[n] = totmin;
			}
			down.push_back(idx[y]);
		}
	}
	if (sz(down) == 0) {
		v[idx[x]].incrBy[a[x]] = 1e18;
		return;
	}
	sort(all(down), [&](int p, int q) { return sz(v[p].equals) + sz(v[p].incrBy) > sz(v[q].equals) + sz(v[q].incrBy); });
	idx[x] = down[0];
	// generate geqs
	{
		for (int i = 1; i < sz(down); i++) {
			for (auto &[k, va] : v[down[i]].incrBy) {
				if (k > a[x])
					v[idx[x]].incrBy[k] += va;
			}
			for (auto &[k, va] : v[down[i]].equals) {
				if (k > a[x])
					v[idx[x]].equals[k] += va;
			}
		}
	}
	// generate eqs (mutate if u like it)
	{
		auto it = v[idx[x]].incrBy.begin();
		while (it != v[idx[x]].incrBy.end()) {
			if (it->first <= a[x]) {
				it = v[idx[x]].incrBy.erase(it);
			} else
				break;
		}
	}
	{
		auto it = v[idx[x]].equals.begin();
		while (it != v[idx[x]].equals.end()) {
			if (it->first <= a[x]) {
				it = v[idx[x]].equals.erase(it);
			} else
				break;
		}
	}
	v[idx[x]].incrBy[a[x]] = 1e18;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	rd(n);
	for (int i = 0; i < n; i++)
		rd(a[i]);
	for (int i = 1; i <= n; i++) {
		rd(f[i]);
	}
	sm[n + 1] = 1e18;
	for (int i = n; i; i--) {
		sm[i] = min(sm[i + 1], 1ll * f[i]);
	}
	for (int i = 0; i < n - 1; i++) {
		int u, v;
		rd(u);
		rd(v);
		u--;
		v--;
		gph[u].push_back(v);
		gph[v].push_back(u);
	}
	dfs(0, -1);
	lint ans = 0;
	for (int i = 0; i < n; i++) {
		if (root[i]) {
			solve(i, par[i]);
			lint totmin = v[idx[i]].totMin().first;
			ans += totmin;
		}
	}
	wt(ans);
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 36924 KB Output is correct
2 Correct 18 ms 36924 KB Output is correct
3 Correct 17 ms 36956 KB Output is correct
4 Correct 16 ms 36948 KB Output is correct
5 Correct 17 ms 36316 KB Output is correct
6 Correct 18 ms 36256 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 131 ms 113080 KB Output is correct
2 Correct 126 ms 113300 KB Output is correct
3 Correct 137 ms 113160 KB Output is correct
4 Correct 125 ms 113052 KB Output is correct
5 Correct 139 ms 113120 KB Output is correct
6 Correct 127 ms 71060 KB Output is correct
7 Correct 114 ms 71212 KB Output is correct
8 Correct 111 ms 72240 KB Output is correct
9 Correct 113 ms 74064 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 35540 KB Output is correct
2 Correct 17 ms 35592 KB Output is correct
3 Correct 19 ms 35508 KB Output is correct
4 Correct 19 ms 35576 KB Output is correct
5 Correct 17 ms 35600 KB Output is correct
6 Correct 20 ms 35540 KB Output is correct
7 Correct 19 ms 35540 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 36924 KB Output is correct
2 Correct 18 ms 36924 KB Output is correct
3 Correct 17 ms 36956 KB Output is correct
4 Correct 16 ms 36948 KB Output is correct
5 Correct 17 ms 36316 KB Output is correct
6 Correct 18 ms 36256 KB Output is correct
7 Correct 18 ms 35540 KB Output is correct
8 Correct 17 ms 35592 KB Output is correct
9 Correct 19 ms 35508 KB Output is correct
10 Correct 19 ms 35576 KB Output is correct
11 Correct 17 ms 35600 KB Output is correct
12 Correct 20 ms 35540 KB Output is correct
13 Correct 19 ms 35540 KB Output is correct
14 Correct 21 ms 36112 KB Output is correct
15 Correct 20 ms 36204 KB Output is correct
16 Correct 20 ms 36100 KB Output is correct
17 Correct 21 ms 36120 KB Output is correct
18 Correct 19 ms 36192 KB Output is correct
19 Correct 19 ms 36264 KB Output is correct
20 Correct 18 ms 36332 KB Output is correct
21 Correct 21 ms 36344 KB Output is correct
22 Correct 19 ms 36308 KB Output is correct
23 Correct 21 ms 36300 KB Output is correct
24 Correct 20 ms 36396 KB Output is correct
25 Correct 21 ms 36460 KB Output is correct
26 Correct 22 ms 36436 KB Output is correct
27 Correct 23 ms 36436 KB Output is correct

Subtask #5
0 / 39.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 36924 KB Output is correct
2 Correct 18 ms 36924 KB Output is correct
3 Correct 17 ms 36956 KB Output is correct
4 Correct 16 ms 36948 KB Output is correct
5 Correct 17 ms 36316 KB Output is correct
6 Correct 18 ms 36256 KB Output is correct
7 Correct 131 ms 113080 KB Output is correct
8 Correct 126 ms 113300 KB Output is correct
9 Correct 137 ms 113160 KB Output is correct
10 Correct 125 ms 113052 KB Output is correct
11 Correct 139 ms 113120 KB Output is correct
12 Correct 127 ms 71060 KB Output is correct
13 Correct 114 ms 71212 KB Output is correct
14 Correct 111 ms 72240 KB Output is correct
15 Correct 113 ms 74064 KB Output is correct
16 Correct 18 ms 35540 KB Output is correct
17 Correct 17 ms 35592 KB Output is correct
18 Correct 19 ms 35508 KB Output is correct
19 Correct 19 ms 35576 KB Output is correct
20 Correct 17 ms 35600 KB Output is correct
21 Correct 20 ms 35540 KB Output is correct
22 Correct 19 ms 35540 KB Output is correct
23 Correct 21 ms 36112 KB Output is correct
24 Correct 20 ms 36204 KB Output is correct
25 Correct 20 ms 36100 KB Output is correct
26 Correct 21 ms 36120 KB Output is correct
27 Correct 19 ms 36192 KB Output is correct
28 Correct 19 ms 36264 KB Output is correct
29 Correct 18 ms 36332 KB Output is correct
30 Correct 21 ms 36344 KB Output is correct
31 Correct 19 ms 36308 KB Output is correct
32 Correct 21 ms 36300 KB Output is correct
33 Correct 20 ms 36396 KB Output is correct
34 Correct 21 ms 36460 KB Output is correct
35 Correct 22 ms 36436 KB Output is correct
36 Correct 23 ms 36436 KB Output is correct
37 Correct 365 ms 71212 KB Output is correct
38 Correct 284 ms 63100 KB Output is correct
39 Correct 284 ms 61840 KB Output is correct
40 Correct 283 ms 61804 KB Output is correct
41 Correct 314 ms 69048 KB Output is correct
42 Correct 284 ms 67948 KB Output is correct
43 Correct 336 ms 68464 KB Output is correct
44 Correct 367 ms 70520 KB Output is correct
45 Correct 385 ms 73940 KB Output is correct
46 Correct 288 ms 73860 KB Output is correct
47 Correct 275 ms 74760 KB Output is correct
48 Correct 347 ms 75008 KB Output is correct
49 Correct 245 ms 74896 KB Output is correct
50 Execution timed out 1578 ms 68344 KB Time limit exceeded
51 Halted 0 ms 0 KB -